10-26 Exercise 3: Find roots of a quadratic equation

Question

Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i

Comments

We will continue this question in few days

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Everything is fixed. Enjoy your time with The Judge :)

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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

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Your code has newline at the end sometime. You learned this lesson many times!

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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.

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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge

Answer 1

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int main()
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Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

Answer 2

Hidden content!
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int main(void)
{
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}

Comments

prog.c: In function 'main':
prog.c:9:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1 = (-b + sqrt(D))/(2*a);
                ^~~~
prog.c:9:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:9:16: note: include '<math.h>' or provide a declaration of 'sqrt'

Answer 3

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int main()
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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 4

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int main()
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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 5

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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** *  **  ***** *     * ** *** *** ** * **  *   ***** ***  *  * *  **  ***** *  **  * *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 6

Hidden content!
#include<stdlib.h>
#include<math.h>

int main(void)
{
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    {
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 *  * *    *** *  * * * **   **    * * *   * * *
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* * **   ***  *   *** * * ** ** *    **   0;
}

Comments

prog.c: In function 'main':
prog.c:8:11: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     while(scanf("%lf %lf %lf", &a, &b ,&c)==3)
           ^~~~~
prog.c:8:11: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:8:11: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:18:17: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
                 ^~~~~~
prog.c:18:17: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:18:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:21:17: warning: incompatible implicit declaration of built-in function 'printf'
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
                 ^~~~~~
prog.c:21:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:29:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:29:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:34:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:34:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:41:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
             ^~~~~~
prog.c:41:13: note: include '<stdio.h>' or provide a declaration of 'printf'

Answer 7

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
* *** *    *****  ***   * a, b, c, D, spD, x1, x2;
    
 ****  **  ******   *    * *       ***  * *** %lf %lf", &a, &b ,&c)==3)
    {
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  ** ***** **  **** * *   * **  *  ** * ** * * 
** *    * ***  ***  *** **** * **      *     *  * * * **  **    ***
 *** ** **** ***    *** *  *     ** *** * *** * *  
* *      **  *    * *  ******  *** **** **   * * *** * * * *** * * ** **    *  ***  ** ** *   *
  **** *  **  ******* * *  **          ********* * * ** ** **  *    **     ** ***  * ***   (-b+spD)/(2*a);
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* * ***  *****   **** **  *  ****  *  *****    **** 
  **    *       * *** *****  **   **  ** *  *****  ** if(D==0)
  **  * ** * ****** ** ****  **   **  ******        * 
** **   * *****       * ** **  ** **    * ** * * **  *  **  *    * * ****  * **  *  ** * (-b)/(2*a);
***** **        ***  ***    ****  ** *** **   *   ** *        *   *** * * ** **  ** ***
*   **  ** ****  *** *   **  **     **   **  * *  *** *      * *** *** ** 
*   ** ** **** **     *   ** *** *   * *  ** *  **    *   * *** *  **       **  * * *  *  ***   of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
 ****** *       *  ** ** ** *   **  *   ******   **  *** ** *   **  * **   *  * 
 * *       ***** **  * ***  *  **  ***  * *   *    *** ** *** * *    ** * *  * *
*   ** **    ** * *** * * **  **  * *   ***  **  * *  * ** ****   * ** ****  * ** *   **
* **   ***   ** ** *  **** *  ** ** * *******  *  ***       ***   **        *  *   
*** * *     **  * **  * ** * * *  * *  **  ** ** ********** * ** **  *** * * **    *   *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
   *   *  * *   ** ****   *   *****  **  *    *  ***  * ** ** * *      ** * * * * * * *
  *   **  *     ******* * *  *** ****    * *  *
***  * ***  ******** **  **      *  * ********* ** *  if(D<0)
 *  *  * * ** * *  *** **** * ** *  * *  *********  *     
  * *    ** * * * *** **  ** *  * **  *** ** * *  * * * ** *  **  *      ********* * (-b)/(2*a);
 ** *  *  ***   ** * ******* *** *   **  ****       *   * * ** *  *** ** ** *   *  * *  -x1;
***  * * *** *   ****   *** * *      *** **     *** * * *  * ****  ***  ** **   *  * **** ** **   of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
*  *       * *    ***  *** ***   * * ****  *      *** 
 * *    * * **   * * **    ** 
    
** ** * **  * ** **   * ****** *     **     *     * *
 * *  * *******  *   *       0;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 8

Hidden content!
** **** * *****  *  *  
*     ***     **   
  *** ****  *** *     *
int    * 
 ***** * **    *     * *    *  a, b, c, D, spD, x1, x2;
 ** **** ****  ** ***  *
*   **  * *  ** *   ** **  ** *   *** *** *    %lf *  ****** *  ****   &b     * ** ***
*      {
*****  ** * *  ** ***            *****  * ******   **  - (4*a*c);
* *  * **   *****  *** *    *   **  *  ** * ***  * * * * 
    *            **  * ****
** ****         {
*  *  ** ** *  **  * ***  *****  ****   *    ** *** **** ****   **  *  
   * ****  **** * *  *** ** *  **** * *   *   ** **  ****    x1= **** * *  *
     **** * *  ** * *** * ***  * *  * *   *  ** * *  *   x2= *  * ***
   * *** ** *** ** **   *     ****  *  ****  *  * *** ***    if (x1==x2){
****  * ** **  **  ** ** ** ** **** ***  *   ***  * ***  * * **        * ****** *   *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = * * ***** * ***
*  ***      *        **  * * **** * * * ***   *  **** *** *  *  * **  * *  *
 *** *  * ***    *    *    *** **  ****** **  ** *   **   else {
 *     * *   ****   *   **   ***       ***** *   ****  ** *** ****  * **  * * **  * *    **  ** * *** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and  ** *****  = %.2lf\nx2 = ***** *  * **  * * *
*    **   * ** ** ** ** *** * *  **  ** *   *** *   **   *  *** * **** }
  * * ***  **  * ** *  **** * **     * *     ***   *
****    *  *****   *** * * **   * *   *  *       *  * *   if(D==0)
 **  **   *  *     *   {
 *    **  * **   **    *    * **** * * *   *   *  **    * *** * * *****  * * *   ** **
**  ****  **    *  **** *  *** ** *** *  ** *  *** * * * ** ****  ** ** *** *** *    
*** **   *  *        {
  ****  * *   **  *        * **    *** ***  ***  **   ***    * * * ** ** *** * ***********  ***  ***** ***  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = ***  * * * ***** **
   ****** * ** **   * ** **   ** *   *** *****     * *      * **     ******* * * ** ***
   *     ***   *  *** ***  **** *  *  * ** *  *     * **   *** *** *  * *****
 * **  ** ** ** *** **  * * * *** **** *  *  *****   *    ****  *** *** *  * * *  *  *     
  * * *            {
* ** **  *** **  *  * ** ****  *    ** ** *  * ****** * ****  *    **     *   * ***** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =  *** ** * ****** * *
   ** ** *  *   **** **  *   * * * *  * **  *    **** * *  *  ***   * *****  
** *    * *     * ***** **** *  * ***  *** **   ***   * * ** 
********  *      * **  * **** ** ***   *   ********  * ** *  **   ***
*     ***       ** * *   
            x1=    **
  * ****      **** ***    * * *** x2= -x1;
*        ** **   *  ** *  ***** *  **** **   * *********    *     **  * **** * * **  ***         *    of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and   * *    * = ** *      *  * = ** * ****  *   *   * *  **
*   **  *  **  *****  * *** *   ** * * **  *** *   **
***** *** *  **  * ******  **  
 **  **    **  *  *  
     **   *       ***  *  * * *** *  ** *
      * *** *       * * * 0;
}

Comments

/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 9

Hidden content!
  **   ** *      **
*  * * ** ** ****** 
int main(){
** *    **  * *   * ***   *  a,b,c;
***   *  *  * **   ** **   **    D;
 *   *   ****  ***  *    ** *    **** *   %lf ******  ***  *** * * **  *******
  * ******  *  ********     **** - 4*a*c ;

  *    * ** * ***** * ** ******* *    ** * of %.2fx^2 + %.2fx + %.2f = 0     *    * 

 * **   * *  *  * ***  *  *   *   **
**    *       **   * *** * ***  **** * ** *    ***    ****** *  **   complex and  *  ****** *     
*  ***** ***  ***   *  **   ****  ** *  *  *** **  *     *  *** ** * * =  *** *** **** **  * (-b) / (2*a) ), sqrt(-D) / (2*a) );
** * *   ***  ****    **  **  *****     **  *  *******  ** ** =  * **   ** *    (-b) / (2*a) ), sqrt(-D) / (2*a) );
* ** **    ***********  
   *** ** ***       *     ** if(D==0){
 **    ****  **** *  * *  **  ** **   *   *     * * ***  **       real and same\n");
** * ** **  ** *   ***     * **** ******   ** **** *    *     *** = x2 = %.2f",( (-b) / (2*a) ) );
*    * **    **     * *** *
 ** * * *  *** **  ***   * ** * *
*   *  **  * ** * ** *   * *** *    ***  *** * *  ** *  * *  *****  real and * *** *** ** 
 *** *  * *****   * * * *** *  *   *  *      ****  *    **** *  *  *   = %.2f\n",( ((-b) + sqrt(D)) / (2*a) ) );
** *   *  ***  ** **** *** *  ** *  *  * **    * *       ** *    * ** *** = %.2f", ( ((-b) - sqrt(D)) / (2*a) ) );
*** ** *** **   * ***  *  *  **

* **       *  **  ** *   *   ** 0;
}

Comments

/tmp/cc8OPUJA.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccLeUfQ5.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 10

Hidden content!
#include ** **** *  ** 
#include <math.h>
int main()
{
*   **** *****    **    *  ** a,b,c,x,y,d;
*  ** *** *******   ****** **** **   *  %f   ** ** *  **   ***** ****
* * ** ***  *** ***   * *  *   ***
*   ****  *  * * ***  *  *  *  * ** * ** **
    * ** * ***  * ** ** ** *** *  *  *  **
**** *  *** *** * * ** *   ** (d>0){
 * ** ****** * * * * *    ** *  *   ** of %.2fx^2 + %.2fx + %.2f = 0 are real and    * * *     ***
 * ** ** **  **   *  ****** * **   ***  * = %.2f\nx2 = %.2f",x,y);
**  *****  *  *      ***    * *
* * *** * ****    *****    * *** if (d==0){
  * *   ** **    * **  *   *** **    * * of %.2fx^2 + %.2fx + %.2f = 0 are real and         **   **  * *
** **  **  **** ** **  ****** * ******  * = x2 = %.2f",x);
  *** ** * * ****    ** ****
* ** ***   ** ****  *    *  
**  *  *  *****       *    **** * *   
  * * *  **   * *   * ** * ***** * * ** *  of %.2fx^2 + %.2fx + %.2f = 0 are complex and  *  ****      *   *  
* ** * **   *** *   *** ****  
** *  * *  *   *  ** **   **  * *   ** * =  *** ********   *  
 * ***  *  * * *     *     * **   ****   = ** ** **** * * *
 * ** * * ** *     *** ***** * *

 * ******  ******   ***     0;
}

Comments

/tmp/ccheVQNV.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccJPGNPl.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output